The surface area of the smaller solid is 112 km².
<h3>What are Similar Solids?</h3>
Similar shapes are enlargements of two shapes using a scale factor.
The ratio of the volume of similar solids is the ratio of the cube of their length.
Formula:
- V/v = L³/l³................... Equation 1
- L/l = ∛(V/v)............... Equation 2
Where:
- V = Volume of the larger solid
- v = volume of the smaller solid
- L = Length of the larger solid
- l = Length of the smaller solid.
From the question,
Given:
Substitute the value into equation 2
To calculate the area of the smaller solid, we use the formula below
Where:
- a = Area of the smaller solid.
- A = Area of the larger solid
make a the subject of the equation
- a = (l²A)/L²................ Equation 2
From the question,
Given:
Substitute these values into equation 2
- a = (4²/9²)567
- a = 112 km²
Hence, the surface area of the smaller solid is 112 km².
Learn more about similar shapes here: brainly.com/question/2644832
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Answer: -15x^3y^7
Step-by-step explanation:
-5x^2y^4(3xy^3)
Multiplty the coefficients
Multiply the x terms
and fianally multiply the y terms
-5(3) = -15
x^2 * x = x^3
y^4* y^3 = y^7
= -15x^3y^7
Answer:
64 members
Step-by-step explanation:
88 total members
24 are in the students council
so those in the dance team and not in the council:
88-24 = 64.
This is probably way overcomplicated but i cant remember how to do it
w = n
l = 2n+1
w*l = 66
n(2n+1) = 66
2n^2 + n =66
2n^2 + n - 66 = 0
using quadratic equation
n = 11/2
width = 11/2 = 5.5
length = 11 + 1 = 12
